Hilbert schemes, wreath products, and the McKay correspondence
| dc.creator | Wang, Weiqiang | |
| dc.date | 1999-12-13 | |
| dc.date.accessioned | 2026-07-07T05:32:16Z | |
| dc.date.available | 2026-07-07T05:32:16Z | |
| dc.description | Various algebraic structures have recently appeared in a parallel way in the framework of Hilbert schemes of points on a surface and respectively in the framework of equivariant K-theory [N1,Gr,S2,W], but direct connections are yet to be clarified to explain such a coincidence. We provide several non-trivial steps toward establishing our main conjecture on the isomorphism between the Hilbert quotient of the affine space $\C^{2n}$ by the wreath product $\G ~ S_n$ and Hilbert schemes of points on the minimal resolution of a simple singularity $\C^2 /\G$. We discuss further various implications of our main conjecture. We obtain a key ingredient toward a direct isomorphism between two forms of McKay correspondence in terms of Hilbert schemes [N1, Gr, N2] and respectively of wreath products [FJW]. We in addition establish a direct identification of various algebraic structures appearing in two different setups of equivariant K-theory [S2, W]. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/9912104 | |
| dc.identifier | http://arxiv.org/abs/math/9912104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79600 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 19J; 18F | |
| dc.title | Hilbert schemes, wreath products, and the McKay correspondence | |
| dc.type | text |